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Finding the Third Proportional to 831,168 and 1,215,648

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Solution

The third proportional to 831,168 and 1,215,648 is: 1,777,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,168 : 1,215,648 = 1,215,648 : x
  2. Step 2: Convert to fraction form
    831,168/1,215,648 = 1,215,648/x
  3. Step 3: Cross multiply
    831,168x = 1,215,648 × 1,215,648
  4. Step 4: Simplify right side
    831,168x = 1,477,800,059,904
  5. Step 5: Solve for x
    x = 1,477,800,059,904/831,168
  6. Step 6: Final answer
    x = 1,777,979.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.